Online Graphing Calculator
This online graphing calculator plots a function such as x^2 - 4x + 3 instantly, then shows intercepts, vertex, domain, range, and intersections right on the graph.Polar curves such as r = 4sin(3theta) work too.
Functions · max 5
Try Cartesian
Try polar
x [-10, 10]
Graph settings
Display and accessibility
Grid settings
Polar draws radial rings and 30° spokes. Type r = 4*sin(3*theta) to plot a polar curve.
X-axis settings
Y-axis settings
More options
Equal scaling keeps circles round. Independent scaling stretches each axis to fill the view.
Angle mode
Degrees: sin(90) = 1. Applies to graphs, roots, and intersections.
Drag to pan · scroll or pinch to zoom · keyboard: arrows pan, + / - zoom, 0 reset
Function overview
Select a point to focus the graph
How to use a graphing calculator
Step 1
Enter y = f(x)
Type 2x + 3, x^2 - 4x + 3, or sin(x). The y = prefix is optional.
Step 2
Inspect the graph
Drag to pan, scroll or pinch to zoom. Select any intercept chip to center the graph on that point.
Step 3
Check and share your work
Compare roots, vertex, slope, and domain against your homework. Add a second function to find crossings. Use the share icon to send a link that keeps your functions and settings, or the download icon to save the graph as a PNG.
What is a graphing calculator?
A graphing calculator draws the curve for an equation such asy = 2x + 3 ory = x^2 - 4x + 3, so roots, peaks, slopes, and gaps are visible at a glance.
GraphInspect pairs every plot with an automatic inspection. Lines report slope and intercepts. Parabolas report the vertex, axis of symmetry, roots, and minimum or maximum value. For rational and trigonometric functions, the graph breaks correctly at undefined points and asymptotes. With two functions visible, it also computes their crossing points, which is the graphical way to solve a system of equations. Polar curves such as roses and spirals plot on a true polar grid with radial rings and angle spokes, and every graph can be saved as a PNG.
Useful for checking and understanding functions: graph a homework answer, compare roots and vertices, visualize transformations, or compare two functions to see where they intersect. Verify a root, check a vertex, or confirm domain restrictions. When a result cannot be pinned down reliably, it is withheld instead of guessed. The settings panel offers grid and axis visibility, exact axis bounds and tick spacing, radians or degrees, and a higher-contrast theme, and the download button saves the finished graph as a PNG.
What you get for each graph
Lines: y = mx + b
Slope, intercepts, domain and range. Example: graph y = 2x + 3.
Parabolas: ax^2 + bx + c
Vertex, axis, roots, minimum or maximum. Example: graph x^2 - 4x + 3. For a dedicated tool, use the Quadratic Graph Calculator.
Rational and trig functions
Gaps stay open at undefined points and asymptotes. Example: graph 1/x or graph tan(x).
Two functions at once
Plot up to 5 curves on one plane. With two visible, crossings are calculated when they can be determined reliably. Example: x^2 meets 2x + 3.
Polar curves
Type r in terms of theta, such as r = 4sin(3theta), to draw roses, circles, and spirals on a polar grid with radial rings and angle labels.
Settings and downloads
The settings panel controls grid and axis visibility, axis bounds, tick spacing, labels, equal scaling, angle mode, text size, and contrast theme. The share icon sends a link that keeps your functions and settings, and the download button saves the graph as a PNG.
Syntax you can type
You can type: x^2, 2x, 3(x+1), sqrt(x), sin(x), cos(x), tan(x), log(x), ln(x), abs(x), |x|, pi, e, and theta (polar curves use r = .... Use ^ for powers, such as x^2 or (x-1)^3. Not supported yet: inequalities, 3D, or step-by-step solving.
Graphing calculator FAQ
How to use a graphing calculator?
Enter your function in this online graphing calculator, for example x^2 - 4x + 3, and press Graph. Drag to pan, scroll or pinch to zoom, and select any intercept chip to center the graph. Add up to 5 functions to compare curves and find intersections. No account needed.
What is a graphing calculator?
A graphing calculator draws the curve for an equation such as y = 2x + 3 or y = x^2 - 4x + 3, so roots, peaks, slopes, and gaps are visible at a glance. This online graphing calculator also reports intercepts, vertex, domain, range, asymptotes, and intersection points automatically.
How to reset graphing calculator?
To reset the graphing calculator view, press the Reset button above the graph to restore the default view. To reset all settings, open the gear settings panel and choose Reset. To start fresh, remove extra functions with the x button until one remains, or reload the /graphing-calculator/ page.
How do I graph a function online?
Type the function, for example x^2 - 4x + 3, and press Graph. Drag to pan and scroll to zoom. No account needed.
How do I find x-intercepts and the y-intercept?
Read the X-intercepts and Y-intercept tiles in the overview. For x^2 - 4x + 3 they are (1, 0), (3, 0), and (0, 3). Select a chip to focus the graph there.
How do I find the vertex of a parabola?
Graph the quadratic and read the Vertex tile. For x^2 - 4x + 3 the vertex is (2, -1), with axis x = 2 and minimum -1.
How do I find domain and range from a graph?
Check the Domain and Range rows. sqrt(x - 2) shows x ≥ 2. Range appears only when it is safe to state, such as y ≥ -1 for x^2 - 4x + 3. Otherwise it is withheld.
How do I find where two graphs cross?
Add a second function and read the Intersections card. x^2 and 2x + 3 cross at (-1, 1) and (3, 9).
Why does 1/x show a gap at x = 0?
Because division by zero is undefined. The curve breaks at x = 0, with vertical asymptote x = 0 and horizontal asymptote y = 0.
How do I graph a polar curve?
Type r in terms of theta, for example r = 4sin(3theta). The curve plots over one full revolution. Choose the polar grid in settings to see radial rings and angle labels.
How do I change the grid, axes, and tick spacing?
Select the gear icon above the graph. You can show or hide the grid and each axis, set exact axis bounds and tick intervals, add axis labels, and switch between Cartesian and polar grids.
How do I switch between radians and degrees?
Open settings and pick Radians or Degrees under Angle mode. It applies everywhere, so in degrees mode sin(90) equals 1 in the graph and in every calculated result.
How do I download or share my graph?
Select the download icon above the graph to save it as a PNG image. Select the share icon to send a link that keeps your functions, viewport, and settings.
Can I graph multiple functions at the same time?
Yes. Add up to five functions and display them on the same coordinate plane. When two functions are visible, GraphInspect can calculate their intersection points when they can be determined reliably.